Question

The value in dollars, v(x), of a certain truck after x years is represented by the equation v

Answer 1

Answer:

The worth of truck is $2,201 more after 2 years than after 3 years.

Step-by-step explanation:

Given: $V(x)=32500(0.92)^x$

The value of truck is depreciate per year using above formula.

We need to find how much more worth of truck after 2 years than 3 years.

First we find the worth of truck after 2 years, put x=2 into formula

$V(2)=32500(0.92)^2$

$V(2)=27508$

The worth of truck after 2 years would be $27,508

Now we find the worth of truck after 3 years, put x=3 into formula

$V(3)=32500(0.92)^3$

$V(3)=25307.36$

The worth of truck after 2 years would be $25,307.36

Now we find difference of both value.

Difference = 27508-25307.36 = $2,201

Hence, The worth of truck is $2,201 more after 2 years than after 3 years.